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Finding the Fourth Proportional to 6,171.60, 8,517.78 and 3,931.14

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Solution

The fourth proportional to 6,171.60, 8,517.78 and 3,931.14 is: 5,425.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,171.60 : 8,517.78 = 3,931.14 : x
  2. Step 2: Convert to fraction form
    6,171.60/8,517.78 = 3,931.14/x
  3. Step 3: Cross multiply
    6,171.60x = 8,517.78 × 3,931.14
  4. Step 4: Simplify right side
    6,171.60x = 33,484,585.67
  5. Step 5: Solve for x
    x = 33,484,585.67/6,171.60
  6. Step 6: Final answer
    x = 5,425.59

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.